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Finding the Fourth Proportional to 443,401.60, 664,372.80 and 256,086.40

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Solution

The fourth proportional to 443,401.60, 664,372.80 and 256,086.40 is: 383,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,401.60 : 664,372.80 = 256,086.40 : x
  2. Step 2: Convert to fraction form
    443,401.60/664,372.80 = 256,086.40/x
  3. Step 3: Cross multiply
    443,401.60x = 664,372.80 × 256,086.40
  4. Step 4: Simplify right side
    443,401.60x = 170,136,838,609.92
  5. Step 5: Solve for x
    x = 170,136,838,609.92/443,401.60
  6. Step 6: Final answer
    x = 383,708.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.